2. 1D Motion / Kinematics

Suppose car A starts a race at time $t=0$ with a constant speed $v{a}_0$, and car B starts later at time $t=T$ with a higher constant speed $v{b}_0$ ($v{b}_0>v{a}_0$). How long after car B started the race will car B catch up with car A?

A police car at rest is passed by a speeder traveling at a constant 36 m/s. The police officer takes off in hot pursuit, accelerating at a constant 2.00 m/s². (a) How long does it take for the police officer to overtake the speeder? (b) Calculate the speed of the police car at the overtaking point.